Question

7.If the distance between the points
A(2,-2) and B(-1, x) is equal to 5, then
the value of x is: *
O (a)2
O (b)-2
O (c)1
O (d)-1​

Answer 1

Step-by-step explanation:

Given coordinates of points are A(2,-2) and B(-1,x)

Distance between them is 5 units

so,

$\sqrt{( - 1 - 2)^{2} + (x + 2)^{2} } = 5$

Squaring both sides

$9 + {x}^{2} + 4x + 4 = 25$

$= > {x}^{2} + 4x - 12 = 0$

$= > {x}^{2} + 6x - 2x - 12 = 0$

$= > x(x + 6) - 2(x + 6) = 0$

$= > (x - 2)(x + 6) = 0$

$= > x = - 6 \: \: or \: \: x = 2$

Answer 2

Answer:

2(a)

Step-by-step explanation:

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